A parametric resonance for the nonlocal hirota-maccari equation

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SUMMARY

    Some results are known in simple linear cases, but in general, the study of resonances in complex nonlinear systems and the connected partial differential equations is always a difficult question. The authors can think that a resonant perturbation can only excite a small number of modes in a nonlinear partial differential equation (NPDE). It can be demonstrated in this paper that an infinite period bifurcation can occur in the nonlocal Hirota-Maccari equation with two spatial dimensions and one temporal variable, if the authors consider a parametric resonance, when the external excitation frequency is . . .

     

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